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How do you simplify #5sqrt(9a^3)-6asqrta#?

Answer 1

#= 9asqrta#

We could see the first term as: #5sqrt(9a^2 xx a) - 6asqrta# #= 5 xx 3asqrta - 6asqrta " take out a common factor"# #= 3asqrta(5-2)#

#= 9asqrta#

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Answer 2

Savannah Anderson

To simplify the expression 5√(9a^3) - 6a√a, we can break it down as follows:

First, simplify the square root of 9a^3: √(9a^3) = √(9) * √(a^3) = 3√(a^2 * a) = 3a√a

Next, substitute this simplified value back into the original expression: 5√(9a^3) - 6a√a = 5(3a√a) - 6a√a = 15a√a - 6a√a = (15a - 6a)√a = 9a√a

Therefore, the simplified expression is 9a√a.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.